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The points A, B, C, and D are on the number line, not

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The points A, B, C, and D are on the number line, not [#permalink] New post 03 Dec 2008, 06:34
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The points A, B, C, and D are on the number line, not necessarily in that order. If the distance A and B is 18 and the distance between C and D is 8, what is the distance between B and D?

1) the distance between C and A is the same as the distance between C and B

2) A is to the left of D on the number line
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Re: DS A, B, C, D [#permalink] New post 03 Dec 2008, 06:52
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Statement 1
This tells us that C must be exactly in the middle of A and B, so AC = 9 and CB = 9. At first glance, this seems like sufficient, but it still doesn't tell us exactly where D is. We know that CD is 8. But D could be to the left of C making BD=17 or it could be to the right, making BD=1.

Statement 2
The key here is to NOT bring in the information from Statement 1. If all we know is the directionaly location of D compared to A, this doesn't give us enough concrete information to know the distance of BD. A could be any distance to the left of A, AND we are n't certain of the order of AB. it could still be BA =18...we just don't know.

Together
If we have A..................B (notice 18 dots) or even B..................A
From #1 we know that C must be equal distance between A & B

So, A.........C.........B
and from #2 we know that A is to the left of D, and CD = 8. Well, what about D's relation to C? D could be on the left of C or right of C and still be to the right of A (provided A is actually left of B).

If D is to the left of C and right of A, what length does that make BD? it sould make it DC +CB or 8 + 9 = 17.

What if D is to the right of C (which will still be right of A), then that makes BD = CB - CD or BD = 9 - 8 = 1

Together both statements are insufficient.

Answer E.


Rice wrote:
The points A, B, C, and D are on the number line, not necessarily in that order. If the distance A and B is 18 and the distance between C and D is 8, what is the distance between B and D?

1) the distance between C and A is the same as the distance between C and B

2) A is to the left of D on the number line

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Re: DS A, B, C, D [#permalink] New post 03 Dec 2008, 06:54
A----B----C----D

1) says C is in btwn A----C----B ----D <-- but we dont know where D is ? Insuff

2) says A---D----B----C or we could have B----D----A Insuff

together we know that A--D--C----B or A----C---D-B

E it is
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Re: DS A, B, C, D [#permalink] New post 03 Dec 2008, 06:56
I almost always Google questions after I answer them. Check this out for more discussion:

WARNING: This is a link to outside GMATClub. I believe the smartest people discuss questions here :-D so leave GMATClub at your own risk!!! (just kidding)

http://www.beatthegmat.com/number-line-t5852.html
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Re: DS A, B, C, D [#permalink] New post 03 Dec 2008, 06:56
It's a really great EXPLANATION. Thanks
Re: DS A, B, C, D   [#permalink] 03 Dec 2008, 06:56
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